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lisabon 2012 [21]
1 year ago
6

For which value of b will the quadratic equation x^2 — bx + 16 = O have

Mathematics
1 answer:
amm18121 year ago
3 0

Answer:

b = 10

b = 17

Step-by-step explanation:

Hello!

Usually, when you want two different integer solutions, you probably want the quadratic to be factorable.

So what we want to know is that b should be the sum of the factors in 16.

Factors of 16: 1, 2, 4, 8, 16

Factor pairs:

  • 1, 16
  • 2, 8
  • 4, 4

Factor Sums:

  • 17
  • 10
  • 8

These are our possible b-values.

Check:

Let's try 17 first:

  • x² - 17x + 16 = 0
  • (x - 16)(x - 1) = 0
  • x = 16, x = 1

Now 10:

  • x² - 10x + 16 = 0
  • (x - 8)(x - 2) = 0
  • x = 8, x = 2

And finally, 8:

  • x² - 8x + 16 = 0
  • (x - 4)(x - 4) = 0
  • x = 4, x = 4

Since x = 4 is a repetitive integer, we cannot use 8 as a value for b.

The answers are b = 10, and b = 17.

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Step-by-step explanation:

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Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

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8 0
2 years ago
student expanded an expression, as shown. Is the student's work correct? Explain why or why not. −6 ( 4x − 2 13 ) −6(4x) + 6 ( −
sleet_krkn [62]

Answer:

No, the student's work is not correct.

Step-by-step explanation:

Given : Student expanded an expression, as shown.

-6(4x-\frac{2}{13} )

-6(4x)+6(-\frac{2}{13} )

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To find : Is the student's work correct?

Solution :

The expansion of student is not correct.

Follow the below steps to get correct solution and student mistake,

Step 1 - Write the expression,

-6(4x-\frac{2}{13} )

Step 2 - Apply distributive property, a(b+c)=ab+ac

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Step 3 - Solve,

=-24x+\frac{12}{13}

The student was mistaken in step 2 in solving the sign.

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